The Triple Integral $\iiint$ _E $y ^ { 2 } d V$

Multiple Choice

The triple integral $\iiint$ _E $y ^ { 2 } d V$ where E is the region bounded by the surfaces $x ^ { 2 } + y = 1 , z ^ { 2 } + 2 y = 4 , y = 0$ is

A) $\frac { 23 } { 24 }$
B) $\frac { 5 } { 6 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 2 }$
E) $\frac { 1 } { 3 }$